Question

For what values of x is x^2 + 2x = 24 true?

Answer 1

`x = -6, x = 4`

Explanation:

Step 1: Factor

Subtract 24 from both sides

`x^2 + 2x- 24 = 24 - 24`

`x^2 + 2x - 24 = 0`

Make two different x's

`x^2 + 2x - 24 = 0`

`x^2 + 6x - 4x - 24 = 0`

Make two different parenthesis

`x^2 + 6x - 4x - 24 = 0`

`(x + 6)(x - 4) = 0`

Step 2: Solve for x in both equations

`x + 6 = 0`

`x + 6 - 6 = 0- 6`

`x = -6`

`x - 4 = 0`

`x - 4 + 4 = 0 + 4`

`x = 4`

Answer:
`x = -6, x = 4`